MathGroup Archive: December 2006 [00007]

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Re: Algorithm used by "Reduce" function

To: mathgroup at smc.vnet.net
Subject: [mg71857] Re: Algorithm used by "Reduce" function
From: "dimitris" <dimmechan at yahoo.com>
Date: Fri, 1 Dec 2006 06:22:10 -0500 (EST)
References: <ekme89$8eg$1@smc.vnet.net>

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Î?/Î? Jim Smith ÎÎ³Ï?Î±Ï?Îµ:
> Hello,
>
> Does anyone happen to know the algorithm used by the "Reduce" function?
> For instance:
>
> In[1]:=      Reduce[{10x + 5y + z == 10, x + y + z == 1, x â?¥ 0, y â?¥ 0,
> z â?¥ 0}, {x, y, z}]
>
> Out[1]=     x == 1 && y == 0 && z == -y
> 
> How does it achieve this answer?
> 
> Thanks,
> Jim

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